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Finding the Fourth Proportional to 345,530.80, 518,368.92 and 195,842.80

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Solution

The fourth proportional to 345,530.80, 518,368.92 and 195,842.80 is: 293,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,530.80 : 518,368.92 = 195,842.80 : x
  2. Step 2: Convert to fraction form
    345,530.80/518,368.92 = 195,842.80/x
  3. Step 3: Cross multiply
    345,530.80x = 518,368.92 × 195,842.80
  4. Step 4: Simplify right side
    345,530.80x = 101,518,820,725.78
  5. Step 5: Solve for x
    x = 101,518,820,725.78/345,530.80
  6. Step 6: Final answer
    x = 293,805.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.